Generalized fractional integral inequalities of Hermite–Hadamard type for harmonically convex functions

Abstract

Abstract In this paper, we establish inequalities of Hermite–Hadamard type for harmonically convex functions using a generalized fractional integral. The results of our paper are an extension of previously obtained results (İşcan in Hacet. J. Math. Stat. 43(6):935–942, 2014 and İşcan and Wu in Appl. Math. Comput. 238:237–244, 2014). We also discuss some special cases for our main results and obtain new inequalities of Hermite–Hadamard type.

Keywords

• Hermite–Hadamard inequalities
• Generalized fractional integral
• Harmonically convex functions